Finding the Third Proportional to 1,221,838,991,376 and 2,478,517,207,680
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Solution
The third proportional to 1,221,838,991,376 and 2,478,517,207,680 is: 5,027,706,262,547.52
Step by Step Solution
- Step 1: Write the proportion equation
1,221,838,991,376 : 2,478,517,207,680 = 2,478,517,207,680 : x - Step 2: Convert to fraction form
1,221,838,991,376/2,478,517,207,680 = 2,478,517,207,680/x - Step 3: Cross multiply
1,221,838,991,376x = 2,478,517,207,680 × 2,478,517,207,680 - Step 4: Simplify right side
1,221,838,991,376x = 6,143,047,548,765,864,246,378,496 - Step 5: Solve for x
x = 6,143,047,548,765,864,246,378,496/1,221,838,991,376 - Step 6: Final answer
x = 5,027,706,262,547.52
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.